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Finding the Fourth Proportional to 187,608.96, 281,478.48 and 82,413.28

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Solution

The fourth proportional to 187,608.96, 281,478.48 and 82,413.28 is: 123,648.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,608.96 : 281,478.48 = 82,413.28 : x
  2. Step 2: Convert to fraction form
    187,608.96/281,478.48 = 82,413.28/x
  3. Step 3: Cross multiply
    187,608.96x = 281,478.48 × 82,413.28
  4. Step 4: Simplify right side
    187,608.96x = 23,197,564,786.21
  5. Step 5: Solve for x
    x = 23,197,564,786.21/187,608.96
  6. Step 6: Final answer
    x = 123,648.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.